Question

In how many ways can the prizes be awarded if fifty people purchase raffle tickets and three winning tickets are selected at random? The first prize is $1000, the second prize is $500, and the third prize is $100.

Answer 1

There are 117,600 ways the prizes can be awarded if 50 people purchase raffle tickets and 3 winning tickets are selected at random.

Step-by-step explanation:

To determine the number of ways the prizes can be awarded, we can use the concept of permutations. Since there are 50 people and 3 winning tickets, the first prize can be awarded to any of the 50 people. After the first prize is awarded, there are 49 people left who can win the second prize. Finally, for the third prize, there are 48 people left.

Therefore, the total number of ways the prizes can be awarded is 50 * 49 * 48 = 117,600 ways.